QCD determination of the magnetic field dependence of QCD and hadronic parameters

C. A. Dominguez; Cristian Villavicencio; M. Loewe

arxiv: 1806.10088 · v2 · pith:MUWHH4UPnew · submitted 2018-06-26 · ✦ hep-ph · nucl-th

QCD determination of the magnetic field dependence of QCD and hadronic parameters

C. A. Dominguez , M. Loewe , Cristian Villavicencio This is my paper

classification ✦ hep-ph nucl-th

keywords dependenceenergyfieldmagneticpionalphacondensateconstant

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A set of four Finite Energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, $(m_u + m_d)$, the pion decay constant $f_\pi$, the pion mass $m_\pi$, the gluon condensate, $\langle 0| \alpha_s\, G^2|0\rangle$, and the squared energy threshold for the onset of perturbative QCD, $s_0$, related to the Polyakov loop of lattice QCD.

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Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature
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Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².